4 papers · 1 filter
Induced corepresentations of locally compact quantum groups
Johan Kustermans
We introduce the construction of induced corepresentations in the setting of locally compact quantum groups and prove that the resulting induced corepresentations are unitary under…
Locally compact quantum groups in the von Neumann algebraic setting
Johan Kustermans, Stefaan Vaes
In this paper we complete in several aspects the picture of locally compact quantum groups. First of all we give a definition of a locally compact quantum group in the von Neumann…
Locally compact quantum groups in the universal setting
Johan Kustermans
In this paper we associate to every reduced C*-algebraic quantum group A a universal C*-algebraic quantum group. We fine tune a proof of Kirchberg to show that every *-representati…
Weight theory for C*-algebraic quantum groups
Johan Kustermans, Stefaan Vaes
In this paper, we collect some technical results about weights on C*-algebras which are useful in de theory of locally compact quantum groups in the C*-algebra framework. We discus…